List of Publications

  1. (with Maxim Braverman and Mikhail Shubin) Essential self-adjointness of Schroedinger-type operators on manifolds, Russian Math. Surveys 57 (4) (2002), 641-692.

  2. "Localized" self-adjointness of Schroedinger-type operators on Riemannian manifolds, J. Math. Anal. Appl. 283 (2003), no. 1, 304-318.

  3. On m-accretive Schroedinger-type operators with singular potentials on manifolds of bounded geometry, Int. J. Math. Math. Sci. 38 (2003), 2415-2423.

  4. Self-adjointness of Schroedinger-type operators with singular potentials on manifolds of bounded geometry, Electron. J. Differential Equations, Vol. 2003, No. 64, (2003), 8pp. (electronic).

  5. The form sum and the Friedrichs extension of Schroedinger-type operators on Riemannian manifolds, Proc. Amer. Math. Soc. 132 (2004), no. 1, 147-156.

  6. Self-adjointness of Schroedinger-type operators with locally integrable potentials on manifolds of bounded geometry, J. Math. Anal. Appl. 295 (2004), 513-526.

  7. On holomorphic families of Schroedinger-type operators with singular potentials on manifolds of bounded geometry, Differential Geom. Appl. 21 (2004), 361-377.

  8. Positive perturbations of self-adjoint Schroedinger operators on Riemannian manifolds, Int. J. Geom. Methods Mod. Phys. 2 (2005), 543-552.

  9. A property of Sobolev spaces on Riemannian manifolds, Electron. J. Differential Equations Vol. 2005, No. 77, (2005), 10pp. (electronic).

  10. Separation property for Schroedinger operators on Riemannian manifolds, J. Geom. Phys. 56 (2006), 1283-1293.

  11. On m-accretive Schroedinger operators in L_p-spaces on manifolds of bounded geometry, J. Math. Anal. Appl. 324 (2006), 762-772.

  12. On m-accretive Schroedinger operators in L_1-spaces on manifolds of bounded geometry, Proc. Edinburgh Math. Soc. (2) 51 (2008), no. 1, 215--227.